The standard form of a line is in the form
[tex]Ax + By = C[/tex]
A, B and C are integers, and A is positive. Let's start with multiplying the whole equation by 3 to get rid of denominators:
[tex]3y+6=x[/tex]
Subtract 3y from both sides:
[tex]6=x-3y[/tex]
Which of course is equivalent to
[tex]x-3y=6[/tex]
Which is the standard form, given the coefficients A=1, B=-3, C=6.
